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Finding the Fourth Proportional to 106.45, 159.50 and 57.71

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Solution

The fourth proportional to 106.45, 159.50 and 57.71 is: 86.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.45 : 159.50 = 57.71 : x
  2. Step 2: Convert to fraction form
    106.45/159.50 = 57.71/x
  3. Step 3: Cross multiply
    106.45x = 159.50 × 57.71
  4. Step 4: Simplify right side
    106.45x = 9,204.75
  5. Step 5: Solve for x
    x = 9,204.75/106.45
  6. Step 6: Final answer
    x = 86.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.